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Evolution Equations & Control Theory (EECT) is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE's and FDEs. Topics include:

  *  Modeling of physical systems as infinite-dimensional processes
  *  Direct problems such as existence, regularity and well-posedness
  *  Stability, long-time behavior and associated dynamical attractors
  *  Indirect problems such as exact controllability, reachability theory and inverse problems
  *  Optimization - including shape optimization - optimal control, game theory and calculus of variations
  *  Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s)
  *  Applications of the theory to physics, chemistry, engineering, economics, medicine and biology
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Periodic solutions and multiharmonic expansions for the Westervelt equation
Barbara Kaltenbacher
2021, 10(2) : 229-247 doi: 10.3934/eect.2020063 +[Abstract](556) +[HTML](304) +[PDF](436.75KB)
Decay rate of global solutions to three dimensional generalized MHD system
Yanxia Niu, Yinxia Wang and Qingnian Zhang
2021, 10(2) : 249-258 doi: 10.3934/eect.2020064 +[Abstract](539) +[HTML](287) +[PDF](387.27KB)
Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy
Ge Zu and Bin Guo
2021, 10(2) : 259-270 doi: 10.3934/eect.2020065 +[Abstract](617) +[HTML](301) +[PDF](375.86KB)
On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay
V. Vijayakumar, R. Udhayakumar and K. Kavitha
2021, 10(2) : 271-296 doi: 10.3934/eect.2020066 +[Abstract](933) +[HTML](412) +[PDF](461.9KB)
Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting
Joel Fotso Tachago, Giuliano Gargiulo, Hubert Nnang and Elvira Zappale
2021, 10(2) : 297-320 doi: 10.3934/eect.2020067 +[Abstract](661) +[HTML](315) +[PDF](502.84KB)
Stabilization of the transmission wave/plate equation with variable coefficients on $ {\mathbb{R}}^n $
Bei Gong, Zhen-Hu Ning and Fengyan Yang
2021, 10(2) : 321-331 doi: 10.3934/eect.2020068 +[Abstract](669) +[HTML](323) +[PDF](384.86KB)
Internal feedback stabilization for parabolic systems coupled in zero or first order terms
Elena-Alexandra Melnig
2021, 10(2) : 333-351 doi: 10.3934/eect.2020069 +[Abstract](532) +[HTML](273) +[PDF](420.09KB)
Homogenization of a stochastic viscous transport equation
Ioana Ciotir, Nicolas Forcadel and Wilfredo Salazar
2021, 10(2) : 353-364 doi: 10.3934/eect.2020070 +[Abstract](521) +[HTML](278) +[PDF](481.9KB)
Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids
Xin Liu, Yongjin Lu and Xin-Guang Yang
2021, 10(2) : 365-384 doi: 10.3934/eect.2020071 +[Abstract](577) +[HTML](282) +[PDF](516.67KB)
Well-posedness of infinite-dimensional non-autonomous passive boundary control systems
Birgit Jacob and Hafida Laasri
2021, 10(2) : 385-409 doi: 10.3934/eect.2020072 +[Abstract](624) +[HTML](293) +[PDF](606.68KB)
Approximation theorems for controllability problem governed by fractional differential equation
Rajesh Dhayal, Muslim Malik, Syed Abbas, Anil Kumar and Rathinasamy Sakthivel
2021, 10(2) : 411-429 doi: 10.3934/eect.2020073 +[Abstract](797) +[HTML](369) +[PDF](511.51KB)
Decay rates for the moore-gibson-thompson equation with memory
Hizia Bounadja and Belkacem Said Houari
2020doi: 10.3934/eect.2020074 +[Abstract](701) +[HTML](284) +[PDF](474.47KB)
A remark on the attainable set of the Schrödinger equation
Jonas Lampart
2020doi: 10.3934/eect.2020075 +[Abstract](521) +[HTML](273) +[PDF](301.95KB)
Approximate controllability of nonlocal problem for non-autonomous stochastic evolution equations
Pengyu Chen and Xuping Zhang
2020doi: 10.3934/eect.2020076 +[Abstract](710) +[HTML](360) +[PDF](413.99KB)
New results on controllability of fractional evolution systems with order $ \alpha\in (1,2) $
Yong Zhou and Jia Wei He
2020doi: 10.3934/eect.2020077 +[Abstract](738) +[HTML](285) +[PDF](351.16KB)
Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor
Fan Wu
2020doi: 10.3934/eect.2020078 +[Abstract](571) +[HTML](265) +[PDF](296.86KB)
Funnel Control for boundary control systems
Marc Puche, Timo Reis and Felix L. Schwenninger
2020doi: 10.3934/eect.2020079 +[Abstract](523) +[HTML](259) +[PDF](1482.42KB)
Null controllability for singular cascade systems of $ n $-coupled degenerate parabolic equations by one control force
Brahim Allal, Abdelkarim Hajjaj, Lahcen Maniar and Jawad Salhi
2020doi: 10.3934/eect.2020080 +[Abstract](565) +[HTML](266) +[PDF](492.37KB)
On finite Morse index solutions of higher order fractional elliptic equations
Belgacem Rahal and Cherif Zaidi
2020doi: 10.3934/eect.2020081 +[Abstract](503) +[HTML](261) +[PDF](528.7KB)
Blow-up criteria for linearly damped nonlinear Schrödinger equations
Van Duong Dinh
2020doi: 10.3934/eect.2020082 +[Abstract](677) +[HTML](345) +[PDF](440.84KB)
Results on controllability of non-densely characterized neutral fractional delay differential system
Kasthurisamy Jothimani, Kalimuthu Kaliraj, Sumati Kumari Panda, Kotakkaran Sooppy Nisar and Chokkalingam Ravichandran
2020doi: 10.3934/eect.2020083 +[Abstract](649) +[HTML](312) +[PDF](385.72KB)
A nonlocal Weickert type PDE applied to multi-frame super-resolution
Fatimzehrae Ait Bella, Aissam Hadri, Abdelilah Hakim and Amine Laghrib
2020doi: 10.3934/eect.2020084 +[Abstract](466) +[HTML](316) +[PDF](5039.71KB)
A blow – up result for the semilinear Moore – Gibson – Thompson equation with nonlinearity of derivative type in the conservative case
Wenhui Chen and Alessandro Palmieri
2020doi: 10.3934/eect.2020085 +[Abstract](481) +[HTML](224) +[PDF](337.42KB)
Solvability in abstract evolution equations with countable time delays in Banach spaces: Global Lipschitz perturbation
Tomomi Yokota and Kentarou Yoshii
2020doi: 10.3934/eect.2020086 +[Abstract](390) +[HTML](234) +[PDF](315.3KB)
Deterministic control of stochastic reaction-diffusion equations
Wilhelm Stannat and Lukas Wessels
2020doi: 10.3934/eect.2020087 +[Abstract](495) +[HTML](251) +[PDF](866.01KB)
Lifespan of solutions to a parabolic type Kirchhoff equation with time-dependent nonlinearity
Haixia Li
2020doi: 10.3934/eect.2020088 +[Abstract](416) +[HTML](242) +[PDF](284.35KB)
S-asymptotically $ \omega $-periodic mild solutions and stability analysis of Hilfer fractional evolution equations
Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan
2020doi: 10.3934/eect.2020089 +[Abstract](475) +[HTML](229) +[PDF](508.46KB)
Approximate controllability of network systems
Yassine El Gantouh, Said Hadd and Abdelaziz Rhandi
2020doi: 10.3934/eect.2020091 +[Abstract](437) +[HTML](218) +[PDF](488.43KB)
Uniform stability in a vectorial full Von Kármán thermoelastic system with solenoidal dissipation and free boundary conditions
Catherine Lebiedzik
2020doi: 10.3934/eect.2020092 +[Abstract](308) +[HTML](176) +[PDF](474.03KB)
Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms
Andrew R. Becklin and Mohammad A. Rammaha
2020doi: 10.3934/eect.2020093 +[Abstract](351) +[HTML](192) +[PDF](645.62KB)
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
El Mustapha Ait Ben Hassi, Salah-Eddine Chorfi, Lahcen Maniar and Omar Oukdach
2020doi: 10.3934/eect.2020094 +[Abstract](653) +[HTML](202) +[PDF](504.68KB)
Stabilization of higher order Schrödinger equations on a finite interval: Part I
Ahmet Batal, Türker Özsarı and Kemal Cem Yılmaz
2020doi: 10.3934/eect.2020095 +[Abstract](418) +[HTML](189) +[PDF](2871.43KB)
Controllability of neutral stochastic functional integro-differential equations driven by fractional brownian motion with Hurst parameter lesser than $ 1/2 $
Brahim Boufoussi and Soufiane Mouchtabih
2020doi: 10.3934/eect.2020096 +[Abstract](337) +[HTML](170) +[PDF](364.69KB)
Optimal distributed control of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics
Bo You
2020doi: 10.3934/eect.2020097 +[Abstract](260) +[HTML](147) +[PDF](421.23KB)
Well-posedness of linear first order port-Hamiltonian Systems on multidimensional spatial domains
Nathanael Skrepek
2020doi: 10.3934/eect.2020098 +[Abstract](329) +[HTML](262) +[PDF](570.47KB)
Stability and stabilization for the three-dimensional Navier-Stokes-Voigt equations with unbounded variable delay
Vu Manh Toi
2020doi: 10.3934/eect.2020099 +[Abstract](287) +[HTML](159) +[PDF](374.1KB)
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations
Priscila Santos Ramos, J. Vanterler da C. Sousa and E. Capelas de Oliveira
2020doi: 10.3934/eect.2020100 +[Abstract](356) +[HTML](158) +[PDF](458.14KB)
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity
Yuzhu Han and Qi Li
2020doi: 10.3934/eect.2020101 +[Abstract](308) +[HTML](161) +[PDF](357.33KB)
Non-autonomous 2D Newton-Boussinesq equation with oscillating external forces and its uniform attractor
Xueli Song and Jianhua Wu
2020doi: 10.3934/eect.2020102 +[Abstract](254) +[HTML](142) +[PDF](535.15KB)
Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces
Soniya Singh, Sumit Arora, Manil T. Mohan and Jaydev Dabas
2020doi: 10.3934/eect.2020103 +[Abstract](461) +[HTML](161) +[PDF](485.74KB)
Complete controllability for a class of fractional evolution equations with uncertainty
Nguyen Thi Kim Son, Nguyen Phuong Dong, Le Hoang Son, Alireza Khastan and Hoang Viet Long
2020doi: 10.3934/eect.2020104 +[Abstract](354) +[HTML](116) +[PDF](799.29KB)
Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with "fading memory"
Manil T. Mohan
2020doi: 10.3934/eect.2020105 +[Abstract](266) +[HTML](103) +[PDF](659.1KB)
Some results on the behaviour of transfer functions at the right half plane
Tahir Aliyev Azeroğlu, Bülent Nafi Örnek and Timur Düzenli
2020doi: 10.3934/eect.2020106 +[Abstract](490) +[HTML](159) +[PDF](291.07KB)
Optimal control problems for a neutral integro-differential system with infinite delay
Hai Huang and Xianlong Fu
2020doi: 10.3934/eect.2020107 +[Abstract](386) +[HTML](125) +[PDF](354.45KB)
Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems
Gervy Marie Angeles and Gilbert Peralta
2020doi: 10.3934/eect.2020108 +[Abstract](323) +[HTML](120) +[PDF](390.72KB)
On time fractional pseudo-parabolic equations with nonlocal integral conditions
Nguyen Anh Tuan, Donal O'Regan, Dumitru Baleanu and Nguyen H. Tuan
2020doi: 10.3934/eect.2020109 +[Abstract](358) +[HTML](119) +[PDF](338.97KB)
Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints
Stefan Doboszczak, Manil T. Mohan and Sivaguru S. Sritharan
2020doi: 10.3934/eect.2020110 +[Abstract](457) +[HTML](137) +[PDF](392.3KB)
Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives
Biao Zeng
2021doi: 10.3934/eect.2021001 +[Abstract](156) +[HTML](68) +[PDF](337.12KB)
Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations
Do Lan
2021doi: 10.3934/eect.2021002 +[Abstract](234) +[HTML](74) +[PDF](325.81KB)
A canonical model of the one-dimensional dynamical Dirac system with boundary control
Mikhail I. Belishev and Sergey A. Simonov
2021doi: 10.3934/eect.2021003 +[Abstract](168) +[HTML](74) +[PDF](388.25KB)
Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains
Mokhtari Yacine
2021doi: 10.3934/eect.2021004 +[Abstract](217) +[HTML](82) +[PDF](540.72KB)
An inverse problem for the pseudo-parabolic equation with p-Laplacian
Stanislav Nikolaevich Antontsev, Serik Ersultanovich Aitzhanov and Guzel Rashitkhuzhakyzy Ashurova
2021doi: 10.3934/eect.2021005 +[Abstract](274) +[HTML](78) +[PDF](414.15KB)
$ (\omega,\mathbb{T}) $-periodic solutions of impulsive evolution equations
Michal Fečkan, Kui Liu and JinRong Wang
2021doi: 10.3934/eect.2021006 +[Abstract](154) +[HTML](77) +[PDF](398.08KB)
Analysis of nonlinear fractional diffusion equations with a Riemann-liouville derivative
Tran Bao Ngoc, Nguyen Huy Tuan, R. Sakthivel and Donal O'Regan
2021doi: 10.3934/eect.2021007 +[Abstract](100) +[HTML](52) +[PDF](473.96KB)
Almost periodic type functions and densities
Marko Kostić
2021doi: 10.3934/eect.2021008 +[Abstract](113) +[HTML](52) +[PDF](542.47KB)
On some damped 2 body problems
Alain Haraux
2021doi: 10.3934/eect.2021009 +[Abstract](97) +[HTML](56) +[PDF](320.89KB)
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling
Hedy Attouch, Aïcha Balhag, Zaki Chbani and Hassan Riahi
2021doi: 10.3934/eect.2021010 +[Abstract](158) +[HTML](82) +[PDF](1134.16KB)
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass
Masahiro Ikeda, Ziheng Tu and Kyouhei Wakasa
2021doi: 10.3934/eect.2021011 +[Abstract](8) +[HTML](4) +[PDF](446.03KB)
BV solutions of a convex sweeping process with a composed perturbation
Alexander Tolstonogov
2021doi: 10.3934/eect.2021012 +[Abstract](6) +[HTML](7) +[PDF](433.95KB)
Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations
Brahim Alouini
2021doi: 10.3934/eect.2021013 +[Abstract](9) +[HTML](4) +[PDF](495.48KB)
Controllability for fractional evolution inclusions without compactness
Yong Zhou, V. Vijayakumar and R. Murugesu
2015, 4(4) : 507-524 doi: 10.3934/eect.2015.4.507 +[Abstract](4391) +[PDF](424.8KB) Cited By(78)
Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm
Abderrahim Azouani and Edriss S. Titi
2014, 3(4) : 579-594 doi: 10.3934/eect.2014.3.579 +[Abstract](3524) +[PDF](418.2KB) Cited By(29)
On the Cauchy problem for the Schrödinger-Hartree equation
Binhua Feng and Xiangxia Yuan
2015, 4(4) : 431-445 doi: 10.3934/eect.2015.4.431 +[Abstract](3381) +[PDF](441.7KB) Cited By(23)
On Kelvin-Voigt model and its generalizations
Miroslav Bulíček, Josef Málek and K. R. Rajagopal
2012, 1(1) : 17-42 doi: 10.3934/eect.2012.1.17 +[Abstract](4759) +[PDF](596.6KB) Cited By(22)
Hyperbolic Navier-Stokes equations I: Local well-posedness
Reinhard Racke and Jürgen Saal
2012, 1(1) : 195-215 doi: 10.3934/eect.2012.1.195 +[Abstract](3766) +[PDF](426.3KB) Cited By(22)
Rational decay rates for a PDE heat--structure interaction: A frequency domain approach
George Avalos and Roberto Triggiani
2013, 2(2) : 233-253 doi: 10.3934/eect.2013.2.233 +[Abstract](3518) +[PDF](610.3KB) Cited By(20)
The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
Abdelaziz Soufyane and Belkacem Said-Houari
2014, 3(4) : 713-738 doi: 10.3934/eect.2014.3.713 +[Abstract](3548) +[PDF](498.1KB) Cited By(19)
Finite determining parameters feedback control for distributed nonlinear dissipative systems -a computational study
Evelyn Lunasin and Edriss S. Titi
2017, 6(4) : 535-557 doi: 10.3934/eect.2017027 +[Abstract](2811) +[HTML](150) +[PDF](4973.5KB) Cited By(19)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](4519) +[PDF](724.1KB) Cited By(19)
Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems
Björn Augner and Birgit Jacob
2014, 3(2) : 207-229 doi: 10.3934/eect.2014.3.207 +[Abstract](2838) +[PDF](458.9KB) Cited By(18)
Martingale solutions for stochastic Navier-Stokes equations driven by Lévy noise
Kumarasamy Sakthivel and Sivaguru S. Sritharan
2012, 1(2) : 355-392 doi: 10.3934/eect.2012.1.355 +[Abstract](3822) +[PDF](583.6KB) PDF Downloads(435)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](4519) +[PDF](724.1KB) PDF Downloads(398)
Some results on the behaviour of transfer functions at the right half plane
Tahir Aliyev Azeroğlu, Bülent Nafi Örnek and Timur Düzenli
2020, 0(0) : 0 doi: 10.3934/eect.2020106 +[Abstract](490) +[HTML](159) +[PDF](291.07KB) PDF Downloads(395)
Continuity with respect to fractional order of the time fractional diffusion-wave equation
Nguyen Huy Tuan, Donal O'Regan and Tran Bao Ngoc
2020, 9(3) : 773-793 doi: 10.3934/eect.2020033 +[Abstract](1659) +[HTML](496) +[PDF](559.21KB) PDF Downloads(391)
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations
Manil T. Mohan
2020, 9(2) : 301-339 doi: 10.3934/eect.2020007 +[Abstract](2148) +[HTML](626) +[PDF](485.25KB) PDF Downloads(387)
The controllability of a thermoelastic plate problem revisited
Moncef Aouadi and Taoufik Moulahi
2018, 7(1) : 1-31 doi: 10.3934/eect.2018001 +[Abstract](5066) +[HTML](520) +[PDF](612.96KB) PDF Downloads(306)
Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
Jun-Ren Luo and Ti-Jun Xiao
2020, 9(2) : 359-373 doi: 10.3934/eect.2020009 +[Abstract](1522) +[HTML](431) +[PDF](299.02KB) PDF Downloads(304)
On a backward problem for two-dimensional time fractional wave equation with discrete random data
Nguyen Huy Tuan, Tran Ngoc Thach and Yong Zhou
2020, 9(2) : 561-579 doi: 10.3934/eect.2020024 +[Abstract](1285) +[HTML](294) +[PDF](420.19KB) PDF Downloads(289)
On a final value problem for a class of nonlinear hyperbolic equations with damping term
Nguyen Huu Can, Nguyen Huy Tuan, Donal O'Regan and Vo Van Au
2021, 10(1) : 103-127 doi: 10.3934/eect.2020053 +[Abstract](885) +[HTML](308) +[PDF](554.04KB) PDF Downloads(271)
Stability problem for the age-dependent predator-prey model
Antoni Leon Dawidowicz and Anna Poskrobko
2018, 7(1) : 79-93 doi: 10.3934/eect.2018005 +[Abstract](5760) +[HTML](497) +[PDF](421.72KB) PDF Downloads(263)

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